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Finding the Fourth Proportional to 309,907.71, 465,110.64 and 160,191.86

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Solution

The fourth proportional to 309,907.71, 465,110.64 and 160,191.86 is: 240,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,907.71 : 465,110.64 = 160,191.86 : x
  2. Step 2: Convert to fraction form
    309,907.71/465,110.64 = 160,191.86/x
  3. Step 3: Cross multiply
    309,907.71x = 465,110.64 × 160,191.86
  4. Step 4: Simplify right side
    309,907.71x = 74,506,936,201.84
  5. Step 5: Solve for x
    x = 74,506,936,201.84/309,907.71
  6. Step 6: Final answer
    x = 240,416.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.